An Algebraic Jost-Schroer Theorem for Massive Theories

Details An Algebraic Jost-Schroer Theorem for Massive Theories An Algebraic Jost-Schroer Theorem for Massive Theories

2010-12-07

arxiv.org/abs/1012.1454v4

Physics

High Energy Physics

High Energy Physics - Theory

21 pages. The second (and crucial) hypothesis of the theorem has been relaxed and clarified, thanks to the stimulus of an anon

Scientific paper

We consider a purely massive local relativistic quantum theory specified by a family of von Neumann algebras indexed by the space-time regions. We assume that, affiliated with the algebras associated to wedge regions, there are operators which create only single particle states from the vacuum (so-called polarization-free generators) and are well-behaved under the space-time translations. Strengthening a result of Borchers, Buchholz and Schroer, we show that then the theory is unitarily equivalent to that of a free field for the corresponding particle type. We admit particles with any spin and localization of the charge in space-like cones, thereby covering the case of string-localized covariant quantum fields.

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